Question

find the base if the part is $56.90 and the rate of decrease is 8%. Round to the nearest cent if necessary.

Answer 1

To find the base amount from a part after a rate of decrease, divide the part by 1 minus the rate of decrease in decimal form. In this case, the base amount is approximately $61.85 before an 8% decrease to $56.90.

Step-by-step explanation:

To find the base amount before a decrease, you can use the formula for percentage decrease, which is:

New Amount = Original Amount - (Original Amount × Rate of Decrease).

In this case, you have the new amount ($56.90) after an 8% decrease, so you can rearrange the formula to solve for the original amount:

Original Amount = New Amount / (1 - Rate of Decrease)

The rate of decrease needs to be in decimal form, so 8% becomes 0.08. Plug the values into the formula:

Original Amount = $56.90 / (1 - 0.08)

Original Amount = $56.90 / 0.92

Original Amount = $61.85

Therefore, the base amount before the decrease was approximately $61.85, rounded to the nearest cent.

Answer 2

Hello!

First, find 8% of 56.90:

56.90 * 8% = 4.552

Now, subtract:

56.90 - 4.552 = 52.348 (Round to the nearest cent).

Base is $52.35.